49871596320 has 960 divisors, whose sum is σ = 221298739200. Its totient is φ = 10510166016.

The previous prime is 49871596303. The next prime is 49871596331. The reversal of 49871596320 is 2369517894.

49871596320 is a `hidden beast` number, since 49 + 8 + 7 + 1 + 596 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×49871596320² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57788209 + ... + 57789071.

It is an arithmetic number, because the mean of its divisors is an integer number (230519520).

It is a 1-persistent number, because it is pandigital, but 2⋅49871596320 = 99743192640 is not.

Almost surely, 2^49871596320 is an apocalyptic number.

49871596320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49871596320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110649369600).

49871596320 is an abundant number, since it is smaller than the sum of its proper divisors (171427142880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49871596320 is a wasteful number, since it uses less digits than its factorization.

49871596320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 49871596320 in words is "forty-nine billion, eight hundred seventy-one million, five hundred ninety-six thousand, three hundred twenty".